What is the Greatest Common Factor of 80240 and 80244?

Greatest common factor (GCF) of 80240 and 80244 is 4.

GCF(80240,80244) = 4

We will now calculate the prime factors of 80240 and 80244, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80240 and 80244.

How to find the GCF of 80240 and 80244?

We will first find the prime factorization of 80240 and 80244. After we will calculate the factors of 80240 and 80244 and find the biggest common factor number .

Step-1: Prime Factorization of 80240

Prime factors of 80240 are 2, 5, 17, 59. Prime factorization of 80240 in exponential form is:

80240 = 2⁴ × 5¹ × 17¹ × 59¹

Step-2: Prime Factorization of 80244

Prime factors of 80244 are 2, 3, 743. Prime factorization of 80244 in exponential form is:

80244 = 2² × 3³ × 743¹

Step-3: Factors of 80240

List of positive integer factors of 80240 that divides 80240 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 59, 68, 80, 85, 118, 136, 170, 236, 272, 295, 340, 472, 590, 680, 944, 1003, 1180, 1360, 2006, 2360, 4012, 4720, 5015, 8024, 10030, 16048, 20060, 40120

Step-4: Factors of 80244

List of positive integer factors of 80244 that divides 80240 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 743, 1486, 2229, 2972, 4458, 6687, 8916, 13374, 20061, 26748, 40122

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80240 and 80244. The biggest common factor number is the GCF number.
So the greatest common factor 80240 and 80244 is 4.

Also check out the Least Common Multiple of 80240 and 80244